88130609424 has 405 divisors, whose sum is σ = 295268797551. Its totient is φ = 24509422080.

The previous prime is 88130609401. The next prime is 88130609461. The reversal of 88130609424 is 42490603188.

It is a happy number.

The square root of 88130609424 is 296868.

It is a perfect power (a square), and thus also a powerful number.

88130609424 is a `hidden beast` number, since 8 + 8 + 1 + 30 + 609 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 703947024 + 87426662400 = 26532^2 + 295680^2 .

It is a super-2 number, since 2×88130609424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88130609424.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 509425402 + ... + 509425574.

Almost surely, 2^88130609424 is an apocalyptic number.

88130609424 is the 296868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88130609424

88130609424 is an abundant number, since it is smaller than the sum of its proper divisors (207138188127).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88130609424 is a wasteful number, since it uses less digits than its factorization.

88130609424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 88130609424 in words is "eighty-eight billion, one hundred thirty million, six hundred nine thousand, four hundred twenty-four".